Consider the circle given by (x+4)2+(y−1)2=12.25. Work through the tasks below.
(i) Find the centre and the radius of the circle.
(ii) Calculate the coordinates at which the circle meets the coordinate axes.
(iii) Draw a neat, free-hand sketch of the circle on a set of coordinate axes, clearly marking the centre, the radius, and all intercepts found in part (ii).